Dual-horizon peridynamics: A stable solution to varying horizons

Huilong Ren, Xiaoying Zhuang, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

507 Citations (Scopus)


In this paper, we present a dual-horizon peridynamics formulation which allows for simulations with dual-horizon with minimal spurious wave reflection. We prove the general dual property for dual-horizon peridynamics, based on which the balance of momentum and angular momentum in PD are naturally satisfied. We also analyze the crack pattern of random point distribution and the multiple materials issue in peridynamics. For selected benchmark problems, we show that DH-PD is less sensitive to the spatial than the original PD formulation.

Original languageEnglish
Pages (from-to)762-782
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 2017 May 1

Bibliographical note

Funding Information:
The authors acknowledge the supports from the National Basic Research Program of China (973 Program: 2011CB013800) and NSFC (51474157), Shanghai Municipal Commission of Science and Technology (16QA1404000), the Ministry of Science and Technology of China (SLDRCE14-B-31) and the ERC-CoG (Computational Modeling and Design of Lithium-ion Batteries (COMBAT)).

Publisher Copyright:
© 2016 Elsevier B.V.


  • Crack stability
  • Horizon variable
  • Material interfaces
  • Multiple materials
  • Random point distribution

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications


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